Symmetric positive solutions of nonlinear boundary value problems

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:326

Article

Graef, John R. ; Kong, Lingju ; Kong, Qingkai

关键词: boundary value problems;    existence;    symmetric positive solutions;    cone;    fixed point theorem;   

DOI  :  10.1016/j.jmaa.2006.03.064

来源: Elsevier

【 摘 要 】

We study the nonlinear boundary value problem [GRAPHICS] The existence of symmetric positive solutions of the above problem is discussed. Sufficient conditions are obtained for the problem to have one, any finite number, and a countably infinite number of such solutions. Our results extend some recent work in the literature on boundary value problems of ordinary differential equations. We illustrate our results by two examples, none of which can be handled using the existing results. (c) 2006 Elsevier Inc. All rights reserved.

【 授权许可】

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